{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:UASPBUO7O222Z253NS3DZSLCQH","short_pith_number":"pith:UASPBUO7","canonical_record":{"source":{"id":"1505.06609","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2015-05-25T12:41:03Z","cross_cats_sorted":[],"title_canon_sha256":"5c60ad5c2440e89d8ef4298763d189bbf7409e40e3cf276d0c2163af9a86d9c6","abstract_canon_sha256":"b3e97e88a86b3b3f47a8dada5dc530dac63874875c05ad264e08b0b6396f9ebd"},"schema_version":"1.0"},"canonical_sha256":"a024f0d1df76b5acebbb6cb63cc96281d2f5c6e863213b8ad8ad33999bce8094","source":{"kind":"arxiv","id":"1505.06609","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.06609","created_at":"2026-05-18T01:32:08Z"},{"alias_kind":"arxiv_version","alias_value":"1505.06609v2","created_at":"2026-05-18T01:32:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.06609","created_at":"2026-05-18T01:32:08Z"},{"alias_kind":"pith_short_12","alias_value":"UASPBUO7O222","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_16","alias_value":"UASPBUO7O222Z253","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_8","alias_value":"UASPBUO7","created_at":"2026-05-18T12:29:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:UASPBUO7O222Z253NS3DZSLCQH","target":"record","payload":{"canonical_record":{"source":{"id":"1505.06609","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2015-05-25T12:41:03Z","cross_cats_sorted":[],"title_canon_sha256":"5c60ad5c2440e89d8ef4298763d189bbf7409e40e3cf276d0c2163af9a86d9c6","abstract_canon_sha256":"b3e97e88a86b3b3f47a8dada5dc530dac63874875c05ad264e08b0b6396f9ebd"},"schema_version":"1.0"},"canonical_sha256":"a024f0d1df76b5acebbb6cb63cc96281d2f5c6e863213b8ad8ad33999bce8094","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:32:08.011631Z","signature_b64":"Nz/FYcdITKZIHlJZqjAc0UebUYguMhzuKu7FDjPUN9Riqm+jVCfQ56z8qcAmFcZWF7hLHQqEfCOhKjaeNzA3Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a024f0d1df76b5acebbb6cb63cc96281d2f5c6e863213b8ad8ad33999bce8094","last_reissued_at":"2026-05-18T01:32:08.010852Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:32:08.010852Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1505.06609","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:32:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"c+vWloFL1RTSuuWvAO2JKgz3RQCIPZ7DCXkGEDWT1FoS401806uCc/MQObUeR3Mhaj7ebilXIQZ9coeSJwdUBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T22:48:28.912627Z"},"content_sha256":"714a944a18b25476d950d330e3dc13143c1044c3381b94df0f1fdc97e87d6dfe","schema_version":"1.0","event_id":"sha256:714a944a18b25476d950d330e3dc13143c1044c3381b94df0f1fdc97e87d6dfe"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:UASPBUO7O222Z253NS3DZSLCQH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A guide to self-distributive quasigroups, or latin quandles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"David Stanovsk\\'y","submitted_at":"2015-05-25T12:41:03Z","abstract_excerpt":"We present an overview of the theory of self-distributive quasigroups, both in the two-sided and one-sided cases, and relate the older results to the modern theory of quandles, to which self-distributive quasigroups are a special case. Most attention is paid to the representation results (loop isotopy, linear representation, homogeneous representation), as the main tool to investigate self-distributive quasigroups."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.06609","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:32:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dsboIpUYEtMjRW+zcy5krnqUYoN9Uss67nqpeOehs9oskTYkq1Jpe5arz9JXOhvMUGSsDoIYXQeAxbuTFzKECw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T22:48:28.913342Z"},"content_sha256":"c4e405b2210c79e841920608992cc35baa1b3ac1dfa76118b274c712cb42df32","schema_version":"1.0","event_id":"sha256:c4e405b2210c79e841920608992cc35baa1b3ac1dfa76118b274c712cb42df32"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UASPBUO7O222Z253NS3DZSLCQH/bundle.json","state_url":"https://pith.science/pith/UASPBUO7O222Z253NS3DZSLCQH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UASPBUO7O222Z253NS3DZSLCQH/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-11T22:48:28Z","links":{"resolver":"https://pith.science/pith/UASPBUO7O222Z253NS3DZSLCQH","bundle":"https://pith.science/pith/UASPBUO7O222Z253NS3DZSLCQH/bundle.json","state":"https://pith.science/pith/UASPBUO7O222Z253NS3DZSLCQH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UASPBUO7O222Z253NS3DZSLCQH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:UASPBUO7O222Z253NS3DZSLCQH","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"b3e97e88a86b3b3f47a8dada5dc530dac63874875c05ad264e08b0b6396f9ebd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2015-05-25T12:41:03Z","title_canon_sha256":"5c60ad5c2440e89d8ef4298763d189bbf7409e40e3cf276d0c2163af9a86d9c6"},"schema_version":"1.0","source":{"id":"1505.06609","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.06609","created_at":"2026-05-18T01:32:08Z"},{"alias_kind":"arxiv_version","alias_value":"1505.06609v2","created_at":"2026-05-18T01:32:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.06609","created_at":"2026-05-18T01:32:08Z"},{"alias_kind":"pith_short_12","alias_value":"UASPBUO7O222","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_16","alias_value":"UASPBUO7O222Z253","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_8","alias_value":"UASPBUO7","created_at":"2026-05-18T12:29:44Z"}],"graph_snapshots":[{"event_id":"sha256:c4e405b2210c79e841920608992cc35baa1b3ac1dfa76118b274c712cb42df32","target":"graph","created_at":"2026-05-18T01:32:08Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We present an overview of the theory of self-distributive quasigroups, both in the two-sided and one-sided cases, and relate the older results to the modern theory of quandles, to which self-distributive quasigroups are a special case. Most attention is paid to the representation results (loop isotopy, linear representation, homogeneous representation), as the main tool to investigate self-distributive quasigroups.","authors_text":"David Stanovsk\\'y","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2015-05-25T12:41:03Z","title":"A guide to self-distributive quasigroups, or latin quandles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.06609","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:714a944a18b25476d950d330e3dc13143c1044c3381b94df0f1fdc97e87d6dfe","target":"record","created_at":"2026-05-18T01:32:08Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"b3e97e88a86b3b3f47a8dada5dc530dac63874875c05ad264e08b0b6396f9ebd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2015-05-25T12:41:03Z","title_canon_sha256":"5c60ad5c2440e89d8ef4298763d189bbf7409e40e3cf276d0c2163af9a86d9c6"},"schema_version":"1.0","source":{"id":"1505.06609","kind":"arxiv","version":2}},"canonical_sha256":"a024f0d1df76b5acebbb6cb63cc96281d2f5c6e863213b8ad8ad33999bce8094","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a024f0d1df76b5acebbb6cb63cc96281d2f5c6e863213b8ad8ad33999bce8094","first_computed_at":"2026-05-18T01:32:08.010852Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:32:08.010852Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Nz/FYcdITKZIHlJZqjAc0UebUYguMhzuKu7FDjPUN9Riqm+jVCfQ56z8qcAmFcZWF7hLHQqEfCOhKjaeNzA3Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:32:08.011631Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.06609","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:714a944a18b25476d950d330e3dc13143c1044c3381b94df0f1fdc97e87d6dfe","sha256:c4e405b2210c79e841920608992cc35baa1b3ac1dfa76118b274c712cb42df32"],"state_sha256":"2200c5c0df5cb0c94fcdd67059d986e5252aad12c58e4ef33830e2743ff84202"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oqazoclQqyisJVXiTv3MjSPj6svqmQMd0e2K1m965zDSYUzcmiKjBkfpn3ZLTclX2ofzY7rlkO+3gxOmpP7mCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T22:48:28.917266Z","bundle_sha256":"a89706cef27bfebd3deecf0ee45561df1acc379274f17248e7f47e56f090490a"}}